9514 1404 393
Answer:
see attached for a graph
x = 0.5 when y = 1
Step-by-step explanation:
The graph has a y-intercept of -1, which is halfway between 0 and -2. It goes up 4 units (2 vertical grid spaces) for 1 unit to the right (1 horizontal grid space). It seems to cross y = 1 at about x = 1/2.
x = 1/2 when y = 1.
Answer:
Lowest angle of the triangle with hypotenuse of 2.9ft and a leg of 2.6ft is 26.29°.
Explanation:
A triangle has a hypotenuse of 2.9ft and a leg of 2.6ft
We have smallest angle = Angle C
We have, Cos C = AC/BC
= 2.6/2.9
= 0.897
C = 26.29°
So lowest angle of the triangle with hypotenuse of 2.9ft and a leg of 2.6ft is 26.29°.
Answer:
x=ln(61)/ln(4)
Step-by-step explanation:
4^x+3=64
4^x=64-3
4^x=61
x=ln(61)/ln(4)
Solve for x:
2 (6 - x) = x (x + 5)
Expand out terms of the left hand side:
12 - 2 x = x (x + 5)
Expand out terms of the right hand side:
12 - 2 x = x^2 + 5 x
Subtract x^2 + 5 x from both sides:
-x^2 - 7 x + 12 = 0
Multiply both sides by -1:
x^2 + 7 x - 12 = 0
x = (-7 ± sqrt(7^2 - 4 (-12)))/2 = (-7 ± sqrt(49 + 48))/2 = (-7 ± sqrt(97))/2:
Answer: x = (-7 + sqrt(97))/2 or x = (-7 - sqrt(97))/2